Thanks a lot for this! I've been playing to Oh h1 like crazy (current score on my laptop is 23,376, and 10k on my phone).
I've never quite liked Threes and 2048, or other games like it, as they either feelt too high paced or too intellectual to me.
Your two games on the other hand hit right at home with me, and I actually feel like I'm getting smarted. I'm sure it's placebo, but hey it feels like it helps so it's helping.
25638 phone. I'm slightly saddened that 0hh1 only includes some of the possible deductions. I generally play 8x8 and I've not found a case where a RBR----R type of row requires a deduction about where the R can not be because it would match an existing row. These come up where you have three unknowns in a row, but I think never for four.
I had an example with two possible solutions (3 empty spaces were left, and either BRB or RBR would have satisfied the conditions). I meant to take a screenshot after finishing but the final position fades out (and adds numbers everywhere) so I should have done it before the end.
Yes. Any deduction that you could reach from that fact could also be reached from other constraints on the board.
Here's an example illustration, from the top-left corner of a board:
y B R
x R _
_ _ _
If x is red, then y is indeterminate, either red or blue is valid there, no other constraint can "see" y to determine it. But if we know the puzzle has a single solution, then we can correctly say x must be blue, so that some other constraint south of x can see through to y. This could be worked out later from that other constraint. But the rules yield this emergent property of a shortcut, and any such emergent property is fair game for logical deduction.
If there's anything unfair about this approach, it's that the existence of a single solution is merely implied by puzzle conventions and not explicitly stated as a rule for 0h n0 here.
There's actually a constraint that no blue circle can be alone, which you can find by reaching an end board with a solitary blue that the game will prompt you about. So X red and Y blue would be well-determined.
However there does appear to be another constraint that is not mentioned explicitly, which is that there are no blue circles that are not in line-of-sight with a numbered circle.
That last isn't defined explicitly. It's an emergent property from the constraint that the solution must be unique.
Any blue circle (or any linear group of them) that is not in line-of-sight with a numbered circle would have no constraint preventing it/them from being red instead. Therefore the solution wouldn't be unique, so such blue circles can't exist.
A big improvement over 0h h1. I never felt like I had to think when playing 0h h1. Every puzzle was solvable by searching for a series of patterns that had an obvious solution.
0h n0 seems to be just complex enough that sometimes you actually need to think about the problem. At least that is the case so far.
Actually, not being so complex that I actually need to think is what I really like about 0hh1.com.
It requires a non-zero but pretty low level of "executive function", but significantly less than most logic puzzles.
In particular, a few times per game, I have to apply a little bit of "frontal-lobe" or higher-level skill to prevent myself from losing my patience for constantly applying the lower-level or "perceptual" skills required by 0hh1. In particular, I have to apply frontal-lobe skills to resist the temptation to engage in the "wishful thinking" of falsely believing I have perceived a correct next move to make.
(I engage in 0hh1.com mostly to relax or unwind, not to hone any higher-level skill.)
For me it was somewhat (but not exactly) the opposite: I encountered 0h n0 first, and was quickly able to finish each level without the computer hints, while I currently still need the hints sometimes for 0h h1.
It seems 0h h1 has a slightly harder learning curve before the pattern recognition kicks in, while 0h n0 doesn't rely as much on pattern recognition, but is easier to learn.
Is every level solvable without guessing? Or are there multiple solutions for some levels? I feel like I had to guess sometimes, but maybe I haven't thought about it enough.
I have yet to come across a level that requires guessing. They definitely exist in theory though(uncertain whether the level generation algorithm is smart enough to eliminate them).
There are no multiple solutions due to an unstated constraint that resolves ambiguities. I believe it is that a blue cannot be surrounded completely by reds.
Even if this is a different game it somewhat reminds me of countless games of minesweeper 20+ years ago. Luckily (or unluckily?) I'm no more as addicted to these kind of games as I used to be or I would spend all the night playing this one :-)
Another feature request... if a tile is already illegal (too many committed blue in line of sight, or no way to commit more blue to satisfy requirement), flag it already. I think the biggest pain is the counting. Otherwise, a nice game!
I really like the realtime feedback idea, similarly you could always show how many additional dots are needed (e.g. the starting counts are correct and count down as you add visible blue dots in it's line of sight), 0 is blank, negatives could be hilighted as issues. Then you don't have to count existing circles, and errors are clear in real time.
It is a balance between playability and automation. Even minesweeper does that (auto deduce that a large region can be opened up). What I described is only the first-order "convenience" checking to avoid the pain of going way back because of a miscounting.
Regarding the hint button. I don't want to use it precisely because I don't want to "win" by repeatedly getting hints.
This is a fun little game. Starts out hard, until you start learning some of the rules. 1's are your friend, as well as large numbers. It'll get easier as you learn more patterns, but there are some that are a good challenge.
though this implementation is a little gimped- rotating to the correct of the three possible states (on,off,nil) often requires two clicks, but a doubleclick is no good..
Took me a bit to understand it too, it means: Of all the possible permutations that the surrounding dots (of that dot) could be, there is at least one dot that is the same (so that while you can't 'solve' that dot, you can still start to fill out the surrounding).
The location to the right of the 2 must be blue. If it's red, then there's no way for the 2 to see two blues. That's what it means, that that dot is included in every possible solution for the 2.
Staring at the circles had a very odd mental effect for me. After playing a few rounds other websites I look at seems very square, straight, and ridged.
This is the second time I've ever felt this effect. The first time was with the 2048 variant Hexagon 16384 [0]. I'm starting to suspect that it's something having to do with spending a long time staring at a set of regular circles.
I wish I knew a neuroscientist so I could ask them about this effect.
Wow, thanks for pointing this out to me. I thought my phone had updated or something because everything looked so blocky... I had my friend check out my phone and he didn't see anything different. I thought I was going insane :(
I imagine it's along the same lines as when everything looks blue after you take off pink ski goggles. I read a study where people wearing glasses that flipped everything upside down would eventually start to see normally, and then after taking the goggles off had upside down vision for a while.
This seems to suggest that your brain has an intrinsic expectation of what the world should look like, either built in by evolution or from year of experiencing the world a certain way. I wonder what sorts of things are filtered from our perception because they don't correspond with the brain's expectation of reality.
I could be wrong, I can't remember fully. But if I recall correctly they don't start to see normally, i.e. the right rotation, they simply adjusted well to the upside down view.
The game trains you to see circles as squares. You're looking at circles but they really act like squares so when you go back to reality it's like you forgot squares existed because the whole concept of square is made obsolete in the game's world.
I'm really surprised this works so well, it really shows how plastic and manipulable our brains are. This could become a reference example on perception or an analogy for higher level perception-shaping.
94 comments
[ 0.24 ms ] story [ 112 ms ] threadI've never quite liked Threes and 2048, or other games like it, as they either feelt too high paced or too intellectual to me.
Your two games on the other hand hit right at home with me, and I actually feel like I'm getting smarted. I'm sure it's placebo, but hey it feels like it helps so it's helping.
Anyway, thank you so much for the games!
25638 phone. I'm slightly saddened that 0hh1 only includes some of the possible deductions. I generally play 8x8 and I've not found a case where a RBR----R type of row requires a deduction about where the R can not be because it would match an existing row. These come up where you have three unknowns in a row, but I think never for four.
Here's an example illustration, from the top-left corner of a board:
If x is red, then y is indeterminate, either red or blue is valid there, no other constraint can "see" y to determine it. But if we know the puzzle has a single solution, then we can correctly say x must be blue, so that some other constraint south of x can see through to y. This could be worked out later from that other constraint. But the rules yield this emergent property of a shortcut, and any such emergent property is fair game for logical deduction.If there's anything unfair about this approach, it's that the existence of a single solution is merely implied by puzzle conventions and not explicitly stated as a rule for 0h n0 here.
However there does appear to be another constraint that is not mentioned explicitly, which is that there are no blue circles that are not in line-of-sight with a numbered circle.
Any blue circle (or any linear group of them) that is not in line-of-sight with a numbered circle would have no constraint preventing it/them from being red instead. Therefore the solution wouldn't be unique, so such blue circles can't exist.
Any reason why the Android App needs access to local storage? (0h h1 doesn't)
I appreciate a game like this: simple, but challenging and entertaining.
0h n0 seems to be just complex enough that sometimes you actually need to think about the problem. At least that is the case so far.
It requires a non-zero but pretty low level of "executive function", but significantly less than most logic puzzles.
In particular, a few times per game, I have to apply a little bit of "frontal-lobe" or higher-level skill to prevent myself from losing my patience for constantly applying the lower-level or "perceptual" skills required by 0hh1. In particular, I have to apply frontal-lobe skills to resist the temptation to engage in the "wishful thinking" of falsely believing I have perceived a correct next move to make.
(I engage in 0hh1.com mostly to relax or unwind, not to hone any higher-level skill.)
It seems 0h h1 has a slightly harder learning curve before the pattern recognition kicks in, while 0h n0 doesn't rely as much on pattern recognition, but is easier to learn.
There are no multiple solutions due to an unstated constraint that resolves ambiguities. I believe it is that a blue cannot be surrounded completely by reds.
(This is like the Minesweeper flag option)
If you start adding any automated processing like that, then you're only a couple more processes away from the game just solving itself without you.
The elegance of this implementation is that you are doing all the solving. Unless you specifically ask for help from the hint button.
Regarding the hint button. I don't want to use it precisely because I don't want to "win" by repeatedly getting hints.
Perhaps time is a distracting concept in that icon?
though this implementation is a little gimped- rotating to the correct of the three possible states (on,off,nil) often requires two clicks, but a doubleclick is no good..
Really interesting effect
I wish I knew a neuroscientist so I could ask them about this effect.
[0] http://rudradevbasak.github.io/16384_hex/ with HN discussion at https://news.ycombinator.com/item?id=7437009 and my comment at https://news.ycombinator.com/item?id=7443465
This seems to suggest that your brain has an intrinsic expectation of what the world should look like, either built in by evolution or from year of experiencing the world a certain way. I wonder what sorts of things are filtered from our perception because they don't correspond with the brain's expectation of reality.
I'm really surprised this works so well, it really shows how plastic and manipulable our brains are. This could become a reference example on perception or an analogy for higher level perception-shaping.